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Simplifying -5r + -16 = 4(8r + -5) + 4 Reorder the terms: -16 + -5r = 4(8r + -5) + 4 Reorder the terms: -16 + -5r = 4(-5 + 8r) + 4 -16 + -5r = (-5 * 4 + 8r * 4) + 4 -16 + -5r = (-20 + 32r) + 4 Reorder the terms: -16 + -5r = -20 + 4 + 32r Combine like terms: -20 + 4 = -16 -16 + -5r = -16 + 32r Add '16' to each side of the equation. -16 + 16 + -5r = -16 + 16 + 32r Combine like terms: -16 + 16 = 0 0 + -5r = -16 + 16 + 32r -5r = -16 + 16 + 32r Combine like terms: -16 + 16 = 0 -5r = 0 + 32r -5r = 32r Solving -5r = 32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32r' to each side of the equation. -5r + -32r = 32r + -32r Combine like terms: -5r + -32r = -37r -37r = 32r + -32r Combine like terms: 32r + -32r = 0 -37r = 0 Divide each side by '-37'. r = 0 Simplifying r = 0
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